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1.
Consider the Schrödinger equation –u+V(x)u=u on the intervalI, whereV(x)0 forxI and where Dirichlet boundary conditions are imposed at the endpoints ofI. We prove the optimal bound
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2.
André Gleyzal 《Foundations of Physics》1976,6(3):299-303
An analytic gravitational fieldZ
(Z
y
) is shown to include electromagnetic phenomena. In an almost flat and almost static complex geometryds
2
=zdzdz of four complex variables z=t, x, y, x the field equationsR
Rz
= –(U
U
– Z
) imply the conventional equations of motion and the conventional electromagnetic field equations to first order if =(Z
v) and =(z
) are expressed in terms of the conventional mass density function
, the conventional charge density function
, and a pressurep as follows:
v=const=p/c
2–10–29 gm/cm3. 相似文献
3.
S. B. Shlosman 《Communications in Mathematical Physics》1989,125(1):81-90
We consider the 2-dimensional Ising model with ferromagnetic nearest neighbour interaction at inverse temperature. LetS
N
=
t
be the total magnetization inside anN×N square box,
per
be the Gibbs state in with periodic b.c., andm() be the spontaneous magnetization. We show the existence of the limit
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